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3 years ago

Please help me with this

Mathematics

2 answers:

juin [17]3 years ago

8 0

Answer:

x=30, <A=60, <C=30

Step-by-step explanation:

A triangle always has its total angles added up to 180 degrees, so we can set up the following equation:

90+2x+x=180

90+3x=180

3x=90

x=30

Since x=30, this means <C is 30 degrees. For <A, it's twice as much as <C, so 2*30=60.

So x=30, <A=60, <C=30

Hope this helped!

Gnom [1K]3 years ago

4 0

Answer:

can u pls make it bigger

Step-by-step explanation:

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$\displaystyle \frac{a}{sin(A)} = \mathbf{ \frac{b}{sin(B)}}$

Therefore;

$\displaystyle sin(B)= \frac{b \cdot sin(A)}{a}$

Which gives;

$\displaystyle sin(B) = \mathbf{\frac{75 \cdot sin(35^{\circ})}{\sqrt{75^2 + 5^2 - 2 \times 75\times5\times cos(35^{\circ}) } }}$

$\displaystyle B = arcsin\left( \frac{75 \cdot sin(35^{\circ})}{\sqrt{75^2 + 5^2 - 2 \times 75\times5\times cos(35^{\circ}) } }\right) \approx 37.32^{\circ}$

Similarly, we can get;

$\displaystyle B = arcsin\left( \frac{75 \cdot sin(35^{\circ})}{\sqrt{75^2 + 5^2 - 2 \times 75\times5\times cos(35^{\circ}) } }\right) \approx \mathbf{ 142.68^{\circ}}$